Posted by Anonymous on Friday, February 25, 2011 at 2:06pm.
The equation is separable, meaning that we can put x and y on each side of the equal sign.
dy/dx=secxtanx-e^x
=>
dy = (sec(x)tan(x) - e^x)dx
Integrate both sides:
∫dy = ∫(sec(x)tan(x) - e^x)dx
=>
y = sec(x)-e^x + C
where C is an integration constant.
differentiate the above solution to confirm that the solution is correct.
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